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A New Bivariate Distribution with Frêchet and Burr-Type Xii as Marginals |
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PP: 271-283 |
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doi:10.18576/jsap/140209
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Author(s) |
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Diaa Gaber,
M. Gharib,
Ali Sharawy,
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Abstract |
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| In this work, an explicit formula to derive bivariate distributions is discussed, and a new bivariate distribution is characterized by using the concomitant of kth upper record values with Freˆchet and Burr type XII distributions as marginals. Some properties of the new distribution are studied. Estimation of the parameters is discussed using maximum likelihood and pseudo-likelihood methods. In addition, a Monte Carlo simulation study is carried out to investigate the estimates of the parameters and their biases and MSE, and the applicability of the constructed distribution is tested by comparing with a competitive distribution using real data sets.
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